Home / 1,882.29-2,821.75-712.07

Finding the Fourth Proportional to 1,882.29, 2,821.75 and 712.07

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Solution

The fourth proportional to 1,882.29, 2,821.75 and 712.07 is: 1,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.29 : 2,821.75 = 712.07 : x
  2. Step 2: Convert to fraction form
    1,882.29/2,821.75 = 712.07/x
  3. Step 3: Cross multiply
    1,882.29x = 2,821.75 × 712.07
  4. Step 4: Simplify right side
    1,882.29x = 2,009,283.52
  5. Step 5: Solve for x
    x = 2,009,283.52/1,882.29
  6. Step 6: Final answer
    x = 1,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.